Results 21 to 30 of about 7,144 (220)

Perrin numbers and distinct repdigits [PDF]

open access: yes, 2020
We determine all Perrin numbers that are concatenations of two repdigits.
Mahadi Ddamulira, Toboka Chalebgwa
openaire   +1 more source

Perrin numbers that are concatenations of two distinct repdigits [PDF]

open access: yes, 2021
Let $ (P_n)_{n\ge 0}$ be the sequence of Perrin numbers defined by ternary relation $ P_0=3 $, $ P_1=0 $, $ P_2=2 $, and $ P_{n+3}=P_{n+1}+P_n $ for all $ n\ge 0 $. In this paper, we use Baker's theory for nonzero linear forms in logarithms of algebraic numbers and the reduction procedure involving the theory of continued fractions, to explicitly ...
Herbert Batte   +2 more
openaire   +2 more sources

Millions of Perrin pseudoprimes including a few giants [PDF]

open access: yes, 2019
The calculation of many and large Perrin pseudoprimes is a challenge. This is mainly due to their rarity. Perrin pseudoprimes are one of the rarest known pseudoprimes. In order to calculate many such large numbers, one needs not only a fast algorithm but
Stephan, Holger
core   +1 more source

Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Consider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar   +2 more
doaj   +1 more source

Toward Multi(radio)metalated DNA: Enzymatic Polymerization of Metal‐Chelate‐Modified Deoxyribonucleoside Triphosphates

open access: yesAngewandte Chemie, EarlyView.
This work presents the first enzymatic polymerization of defined metal‐chelator‐modified nucleotides that leverage polymerase fidelity for uniform (radio)metal loading with successful incorporation of five different metals: Ga, In, Tb, Lu, and Y.
Antonio A. W. L. Wong   +2 more
wiley   +2 more sources

Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers

open access: yes, 2022
Let $\left\lbrace P_{k}\right\rbrace_{k\geq0}$ be the Padovan sequence defined by $P_{k}=P_{k-2}+P_{k-3}$ with initial values are $P_{0}=P_{1}=P_{2}=1$. Let $\left\lbrace R_{k}\right\rbrace_{k\geq0}$ be the Perrin sequence defined by $R_{k}=R_{k-2}+R_{k-3}$ with initial values are $R_{0}=3$, $R_{1}=0$, $R_{2}=2$.
Ismail, Mustafa, Gaber, Ahmed, Anwar, M.
openaire   +2 more sources

De Moivre-Type Identities for the Padovan Numbers [PDF]

open access: yes, 2021
At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some identities between all of these ...
Akbıyık, Mücahit   +2 more
core   +1 more source

Os quatérnios circulares hiperbólicos e os números hibrinomiais de Perrin

open access: yes, 2022
Studies referring to linear and recurrent sequences are being carried out in the Pure Mathematics literature, thus expanding the universe of sequence evolution.
Vieira, Renata Passos Machado   +2 more
core   +1 more source

O estado da arte da sequência de Perrin: uma análise dos aspectos evolutivos

open access: yes, 2023
This article discusses a state of the art for Perrin\u27s recurring numerical sequence. In this way, an analysis is carried out of the works contained in the last five years, from the Google Scholar database, with the objective of the research a study ...
Vieira, Renata Passos Machado   +2 more
core   +1 more source

Variation in parrot jaw musculature

open access: yesThe Anatomical Record, EarlyView.
Interspecific morphological differences in some superficial jaw muscles of parrots. Abstract Psittaciformes, the order encompassing parrots and their relatives, are highly diverse and generally known for having a strong beaks used for multiple behaviors. The muscles related to the masticatory apparatus should reflect this functional complexity; however,
Ana Carolina L. Faillace   +3 more
wiley   +1 more source

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